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What is the Least Common Multiple of 85155 and 85166?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 85155 and 85166 is 7252310730.

LCM(85155,85166) = 7252310730

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Least Common Multiple of 85155 and 85166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85155 and 85166, than apply into the LCM equation.

GCF(85155,85166) = 1
LCM(85155,85166) = ( 85155 × 85166) / 1
LCM(85155,85166) = 7252310730 / 1
LCM(85155,85166) = 7252310730

Least Common Multiple (LCM) of 85155 and 85166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85155 and 85166. First we will calculate the prime factors of 85155 and 85166.

Prime Factorization of 85155

Prime factors of 85155 are 3, 5, 7, 811. Prime factorization of 85155 in exponential form is:

85155 = 31 × 51 × 71 × 8111

Prime Factorization of 85166

Prime factors of 85166 are 2, 97, 439. Prime factorization of 85166 in exponential form is:

85166 = 21 × 971 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 85155 and 85166.

LCM(85155,85166) = 31 × 51 × 71 × 8111 × 21 × 971 × 4391
LCM(85155,85166) = 7252310730